Finite groups and the class-size prime graph revisited

2022/11/17 by Víctor Sotomayor, Sotomayor, Víctor
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2211.09842

openalex publication_date 2022/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on recent progress concerning the relationship that exists between the algebraic structure of a finite group and certain features of its class-size prime graph.

Related

• Finite groups in which almost all class sizes are prime numbers
• Finite groups whose prime graph on class sizes is a block square
• Real class sizes
• Groups whose prime graph on class sizes has a cut vertex
• The influence of conjugacy class sizes on the structure of finite groups: a survey